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- catalog abstract "This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.".
- catalog contributor b10567565.
- catalog contributor b10567566.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Foreword -- Contents -- Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum -- Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening -- Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space -- Topological properties of Banach spaces: Appendix. Polynomial properties -- Geometrical properties -- Homological properties -- Approximation properties -- Resume -- Bibliography -- Subject Index.".
- catalog description "Includes bibliographical references (p.[239]-262) and index.".
- catalog description "This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.".
- catalog extent "xii, 267 p. ;".
- catalog identifier "3540633448 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1667.".
- catalog isPartOf "Lecture notes in mathematics ; 1667".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 515/.732 21".
- catalog subject "Banach spaces.".
- catalog subject "Duality theory (Mathematics)".
- catalog subject "Functional analysis.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1667 QA332.2".
- catalog subject "Ultraproducts.".
- catalog tableOfContents "Foreword -- Contents -- Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum -- Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening -- Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space -- Topological properties of Banach spaces: Appendix. Polynomial properties -- Geometrical properties -- Homological properties -- Approximation properties -- Resume -- Bibliography -- Subject Index.".
- catalog title "Three-space problems in Banach space theory / Jesús M.F. Castillo, Manuel González.".
- catalog type "text".